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  3. 1. find answers that meet the first-order optimiza

1. Find answers that meet the first-order optimization conditions, identify the shape of the function graph...

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Basic Math

1. Find answers that meet the first-order optimizationconditions, identify the shape of the function graph to determinewhether these answers are maximum value or minimal value.

(a) f(x) = e^x + e^-x

(b) f(x) = x^3/(x+1)

(c) f(x) = x/lnx

2. Find answers that meet the second-order optimizationconditions, and determine whether these answers are maximum valueor minimal value.

(a) f(x) = e^x + e^-x

(b) f(x) = x^3/(x+1)

(c) f(x) = x/lnx

3. Determine whether each function is concave or convex. If theentire function is not concave or convex, look for concave andconvex sections.

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